Answer:
There is only one distinct triangle possible, with m∠N ≈ 33°. i hope this helps :)
Step-by-step explanation:
In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?
There are no triangles possible.
There is only one distinct triangle possible, with m∠N ≈ 33°.
There is only one distinct triangle possible, with m∠N ≈ 147°.
There are two distinct triangles possible, with m∠N ≈ 33° or m∠N ≈ 147°.
Answer:
4(2x + 3)
Step-by-step explanation:
Given
8x + 12 ← factor out the common factor of 4 from both terms
= 4(2x + 3)
For this case we must find a linear equation of the form:
Where,
m: slope of the line
b: cutting point with vertical axis.
For the slope we have the following equation:
Substituting values we have:
We observe that the slope of the line is not defined.
Therefore, the line is vertical.
Thus, the equation of the line is given by:
Answer:
The equation of the line is given by:
1. The area of one face of the bar is
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2
Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection
2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2
Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2
Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2
